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Finding the Fourth Proportional to 2,235, 3,354.08 and 1,003.80

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Solution

The fourth proportional to 2,235, 3,354.08 and 1,003.80 is: 1,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235 : 3,354.08 = 1,003.80 : x
  2. Step 2: Convert to fraction form
    2,235/3,354.08 = 1,003.80/x
  3. Step 3: Cross multiply
    2,235x = 3,354.08 × 1,003.80
  4. Step 4: Simplify right side
    2,235x = 3,366,825.50
  5. Step 5: Solve for x
    x = 3,366,825.50/2,235
  6. Step 6: Final answer
    x = 1,506.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.